通过间隔类型-2模糊存储器基于故障耐受性控制方案,对分数级非线性永磁同步电机模型进行稳定性分析
Pratap Anbalagan1, Young Hoon Joo1
1School of IT Information and Control Engineering, Kunsan National University, 588 Daehak-ro, Gunsan-si, Jeonbuk 54150, Republic of Korea.
ISA transactions
|September 2, 2023
概括
这项研究通过使用间隔类型-2 Takagi-Sugeno 模糊逻辑来增强分数级永磁同步电机 (FOPMSM) 模型. 一个基于模糊内存的容错控制器 (FTC) 稳定了系统的干扰和故障.
科学领域:
- 控制系统工程 控制系统工程
- 模糊逻辑控制控制的模糊逻辑控制
- 非线性系统分析 非线性系统分析
背景情况:
- 分数级永磁同步电机 (FOPMSM) 模型表现出复杂的非线性.
- 外部干扰 (负载扭矩) 和执行器故障会降低系统性能和稳定性.
- 现有的控制策略可能会与混乱的行为,时间延迟和参数不确定性作斗争.
研究的目的:
- 提高FOPMSM模型在干扰和故障下的趋同率并分析其稳定性.
- 为非线性FOPMSM系统制定一个强大的容错控制 (FTC) 策略.
- 确保系统稳定,减少干扰,尽管存在不确定性和故障.
主要方法:
- 在d-q框架中使用间隔类型-2的Takagi-Sugeno (IT-2 T-S) 模糊建模技术对非线性FOPMSM模型的近似.
- 基于模糊记忆的FTC设计,以减轻混乱的行为并稳定非线性模型.
- 使用基于分数顺序的模糊Lyapunov-Krasovskii函数 (LKF) 与线性矩阵不等式 (LMIs) 进行稳定性分析和控制器增益确定.
主要成果:
- 通过使用LMIs,获得了足够的条件来实现非对称稳定性和减少干扰.
- 拟议的IT-2 T-S模糊模型有效地接近了FOPMSM动态.
- 可解决的LMI能够确定控制增益矩阵,从而提高了系统稳定性.
结论:
- 基于模糊内存的FTC有效地稳定非线性FOPMSM模型,防止负载扭矩干扰,执行器故障和时间延迟.
- 分数顺序模糊的LKF方法为稳定性分析和控制器设计提供了严格的框架.
- 数字模拟验证了拟议的控制器在提高FOPMSM性能方面的适用性和效率.
相关概念视频
Time-Domain Interpretation of PD Control
140
Proportional-Derivative (PD) control is a widely used control method in various engineering systems to enhance stability and performance. In a system with only proportional control, common issues include high maximum overshoot and oscillation, observed in both the error signal and its rate of change. This behavior can be divided into three distinct phases: initial overshoot, subsequent undershoot, and gradual stabilization.
Consider the example of control of motor torque. Initially, a positive...
Consider the example of control of motor torque. Initially, a positive...
140
Multimachine Stability
188
Multimachine stability analysis is crucial for understanding the dynamics and stability of power systems with multiple synchronous machines. The objective is to solve the swing equations for a network of M machines connected to an N-bus power system.
In analyzing the system, the nodal equations represent the relationship between bus voltages, machine voltages, and machine currents. The nodal equation is given by:
In analyzing the system, the nodal equations represent the relationship between bus voltages, machine voltages, and machine currents. The nodal equation is given by:
188
Simplified Synchronous Machine Model
268
The Synchronous Machine Model is a fundamental tool in analyzing and ensuring the transient stability of power systems. This model simplifies the representation of a synchronous machine under balanced three-phase positive-sequence conditions, assuming constant excitation and ignoring losses and saturation. The model is pivotal for understanding the behavior of synchronous generators connected to a power grid, particularly during transient events.
In this model, each generator is connected to a...
In this model, each generator is connected to a...
268
Time and frequency -Domain Interpretation of PI Control
157
Proportional-Integral (PI) controllers are essential in many control systems to improve stability and performance. They are commonly used in everyday devices like thermostats to enhance system damping and reduce steady-state error. When the zero in the controller's transfer function is optimally placed, the system benefits significantly in terms of stability and accuracy.
Acting as a low-pass filter, the PI controller slows the system's response and extends settling times. This requires...
Acting as a low-pass filter, the PI controller slows the system's response and extends settling times. This requires...
157
Load-frequency control
189
Load-frequency control (LFC) is vital for maintaining power system stability, ensuring that frequency and power flows remain within acceptable limits during load changes. Turbine-governor control eliminates rotor accelerations and decelerations following load changes. However, a steady-state frequency error persists when the change in the turbine-governor reference setting is zero. In an interconnected power system, each area agrees to export or import a scheduled amount of power through...
189
PID Controller
142
Proportional-Integral-Derivative (PID) controllers are widely used in various control systems to enhance stability and performance. In a thermostat, it adjusts heating or cooling based on the temperature difference between the actual and desired levels. They are often used in automotive speed systems, effectively managing sudden speed changes while maintaining a constant speed under varying conditions. On the other hand, PI controllers, commonly employed in voltage regulation, enhance stability...
142


